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MAP SKILLS AND CALCULATIONS Refer to the topographic map - NSC Geography - Question 3 - 2023 - Paper 2

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MAP SKILLS AND CALCULATIONS Refer to the topographic map. 3.1.1 When calculating an area on the map, the scale is used to... A) represent the area on the topograp... show full transcript

Worked Solution & Example Answer:MAP SKILLS AND CALCULATIONS Refer to the topographic map - NSC Geography - Question 3 - 2023 - Paper 2

Step 1

3.1.1 B) calculate the area in reality.

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Answer

To calculate the area in reality, we need to convert the map measurements by using the scale. This allows for true estimations of the physical dimensions of the area represented on the map.

Step 2

3.1.2 Calculate the area which is demarcated in red/black on the topographic map in km².

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Answer

Using the formula for area:

extArea=extLength(L)imesextBreadth(B) ext{Area} = ext{Length} (L) imes ext{Breadth} (B)

Given that the measured length is 3.7 cm, you will need to measure the breadth of the red/black area on the map. For example, if the breadth measured is 1.85 cm, then:

extArea=3.7imes1.85=6.845extcm2 ext{Area} = 3.7 imes 1.85 = 6.845 ext{ cm²}

Convert cm² to km²:

As 1 km² = 10,000,000 cm²,

ext{Area in km²} = rac{6.845}{10,000,000} = 0.0000006845 ext{ km²}

Step 3

3.1.3 The true bearing.

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The true bearing from station 286 to spot height 1 357 can be given as 161° measured clockwise from true north. This reflects the direction necessary for navigating from one location to another as represented on the map.

Step 4

3.1.4 Calculate the magnetic declination of Odendaalsrus for 2023.

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To find the magnetic declination for 2023, we start with the true bearing calculated earlier (161°). We also account for the total change in magnetic declination over 3 years:

ext{Total change} = 3 imes 10' = 30'\

Thus, the declination can be represented as:

extMagneticDeclinationin2023=161°+30=182°39 ext{Magnetic Declination in 2023} = 161° + 30' = 182° 39'

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